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Finding the Fourth Proportional to 7,547.87, 11,326.41 and 4,770.71

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Solution

The fourth proportional to 7,547.87, 11,326.41 and 4,770.71 is: 7,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.87 : 11,326.41 = 4,770.71 : x
  2. Step 2: Convert to fraction form
    7,547.87/11,326.41 = 4,770.71/x
  3. Step 3: Cross multiply
    7,547.87x = 11,326.41 × 4,770.71
  4. Step 4: Simplify right side
    7,547.87x = 54,035,053.59
  5. Step 5: Solve for x
    x = 54,035,053.59/7,547.87
  6. Step 6: Final answer
    x = 7,158.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.